Measures of Pseudorandomness.

K Gyarmati - 2013 - degruyter.com
In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new
quantitative theory of pseudorandomness of binary sequences. Since then numerous …

The cross-correlation measure for families of binary sequences.

K Gyarmati, C Mauduit, A Sárközy - 2014 - books.google.com
Large families of binary sequences of the same length are considered and a new measure,
the cross-correlation measure of order k, is introduced to study the connection between the …

Remarks on pseudorandom binary sequences over elliptic curves

L Mérai - Fundamenta Informaticae, 2012 - content.iospress.com
Remarks on Pseudorandom Binary Sequences Over Elliptic Curves 1. Introduction Page 1
Fundamenta Informaticae 114 (2012) 301–308 301 DOI 10.3233/FI-2012-630 IOS Press …

[PDF][PDF] Image pixel permutation operation based on elliptic curve cryptography

O Reyad, HS Khalifa, R Kharabsheh - J. Appl. Math. Inf. Sci, 2019 - researchgate.net
In this paper, elliptic curve (EC) based pseudo-random bit generator is used to control the
group operation (GRP) method which has good inherent cryptographic properties. The new …

[PDF][PDF] Construction of pseudorandom binary sequences over elliptic curves using multiplicative characters

L Mérai - Publ. Math. Debrecen, 2012 - compalg.inf.elte.hu
Construction of pseudorandom binary sequences over elliptic curves using multiplicative
characters Page 1 Construction of pseudorandom binary sequences over elliptic curves …

Random bit generator mechanism based on elliptic curves and secure hash function

O Reyad, M Karar, K Hamed - 2019 International Conference …, 2020 - ieeexplore.ieee.org
Pseudorandom bit generators (PRBG) can be designed to take the advantage of some hard
number theoretic problems such as the discrete logarithm problem (DLP). Such type of …

Predicting the elliptic curve congruential generator

L Mérai - Applicable Algebra in Engineering, Communication …, 2017 - Springer
Let p be a prime and let EE be an elliptic curve defined over the finite field F _p F p of p
elements. For a point G ∈ E (F _p) G∈ E (F p) the elliptic curve congruential generator (with …

Sequences related to Legendre/Jacobi sequences

Z Chen, X Du, G **ao - Information Sciences, 2007 - Elsevier
Two families of binary sequences are constructed from dth order cyclotomic generator and
from dth order generalized cyclotomic generator with respect to two distinct primes …

Pseudo-random sequence generation from elliptic curves over a finite field of characteristic 2

O Reyad, Z Kotulski - 2016 Federated Conference on …, 2016 - ieeexplore.ieee.org
In this paper, the randomness of binary sequences generated from elliptic curves over a
finite field of characteristic 2 is studied. A scheme of construction based on the Chaos-Driven …

Construction of pseudorandom binary lattices using elliptic curves

L Mérai - Proceedings of the American Mathematical Society, 2011 - ams.org
In an earlier paper, Hubert, Mauduit and Sárközy introduced and studied the notion of
pseudorandomness of binary lattices. Later constructions were given by using characters …